Question

Find by completing the square

Answer 1

`y=ax^2+bx+c\\\\y=a(x-h)^2+k\ where\ h=(-b)/(2a);\ k=f(h)=(-(b^2-4ac))/(4a)[tex]y=-3x^2+7x-5\\\\a=-3;\ b=7;\ c=-5\\\\h=(-7)/(2\cdot(-3))=(7)/(6)\\\\k=(-(7^2-4\cdot(-3)\cdot(-5))/(4\cdot(-3))=(-49+60)/(-12)=-(11)/(12)\\\\y=-3\left(x-(7)/(6)\right)^2-(11)/(12)`